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А.А. Гурченков, И.М. Герман, А.М. Романенков
8
Optimal design of the beam under Eigen-oscillation
frequency constraints
© A.A. Gurchenkov
1,2
, I.M. German
2
, A.M. Romanenkov
2
1
Bauman Moscow State Technical University, Moscow, 105005, Russia
2
MATI – Russian State Technological University named after K.E. Tsiolkovsky,
Moscow, 109387, Russia
The problem considered in the work is relevant to the current situation in the field of
elastic body shape optimization. The proposed method of solving the problem is suita-
ble for use in practice. Various conditions of end restraint were studied. For the nu-
merical solving the extreme problem the methods of successive approximations and the
gradient projection were used. The problem is solved considering various beam pa-
rameter constraint conditions naturally arising in solving such problems. To calculate
the optimal shape of the beam deflection by the modern information technology, con-
venient for the user software was developed, allowing the results of calculations to be
clearly demonstrated.
Keywords:
optimization of the oscillation frequency, method of descent.
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